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Finding the Fourth Proportional to 96.54, 144.56 and 76.36

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Solution

The fourth proportional to 96.54, 144.56 and 76.36 is: 114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 144.56 = 76.36 : x
  2. Step 2: Convert to fraction form
    96.54/144.56 = 76.36/x
  3. Step 3: Cross multiply
    96.54x = 144.56 × 76.36
  4. Step 4: Simplify right side
    96.54x = 11,038.60
  5. Step 5: Solve for x
    x = 11,038.60/96.54
  6. Step 6: Final answer
    x = 114.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.